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PROJECT IN PHYSICS
(Problems Compilation)
Submitted by:
KIMBERLY L. RECARE IV- HOPE
Submitted to:
CECIL SIERVO
PROBLEM SOLVING 1. To go from your house to a nearby store, you must walk 4 m east and then 20 m 30° north of east. What is your displacement? Use polygon method and parallelogram method. Check you result by sine law and cosine law.
COSINE LAW SINE LAW R²= a² + b² - 2 AB cos 150° = (4m) ² + (20m) ² - 2 (4m)(20m) cos 150° = 16m² + 400m² - 2 (80m²)(-0.87) = 416m² - 2 (-69.6m²) = 416m² - (-1392m²) R²= 555m² R= 23.56m or R=24m |
2. You found a treasure map and it said: Start at the well, go 100m straight south, then 30m 40° N of W, then 25 m straight east, and finally 45m 75° S of E. How far from the well and in what direction is the hidden treasure? Use component method. VECTOR | X-com (cos) | Y- com (sin) | 100 m S | 0 | -100m | 30M 40° NW | -30m cos 40°= -22.98 | 30m sin 40°=19.28 | 25m E | 25m | 0 | 45m 75°SE | 45m cos 75°= 11.65 | -45m sin 75°= -43.47 | ∑= x & y | 13.67 | -124.19 |
Dr = x² + y² = (13.67) ² + (-124.19) ² = 186.87 + 15, 423.16 = 15, 610.03
Dr = 124.94 or Dr = 125m | Tan Ɵ = = = tan ¹ (9.09) Ɵ = 83.72 or Ɵ = 84° |
3. A car starting from rest, accelerates for 15.0 min until it’s velocity is 20 m/s. It then moves at constant velocity for another 20.0 min before it slow down and finally stopped in another 10.0 min. Find (a) acceleration during the first 15 min, (b) the deceleration during the last 10 min of its motion, (c) the distance traveled during the last minute, and the (d) total displacement. (e) Draw the displacement versus time graph and velocity versus time graph for the motion of the car.
Given:
(Problems Compilation)
Submitted by:
KIMBERLY L. RECARE IV- HOPE
Submitted to:
CECIL SIERVO
PROBLEM SOLVING 1. To go from your house to a nearby store, you must walk 4 m east and then 20 m 30° north of east. What is your displacement? Use polygon method and parallelogram method. Check you result by sine law and cosine law.
COSINE LAW SINE LAW R²= a² + b² - 2 AB cos 150° = (4m) ² + (20m) ² - 2 (4m)(20m) cos 150° = 16m² + 400m² - 2 (80m²)(-0.87) = 416m² - 2 (-69.6m²) = 416m² - (-1392m²) R²= 555m² R= 23.56m or R=24m |
2. You found a treasure map and it said: Start at the well, go 100m straight south, then 30m 40° N of W, then 25 m straight east, and finally 45m 75° S of E. How far from the well and in what direction is the hidden treasure? Use component method. VECTOR | X-com (cos) | Y- com (sin) | 100 m S | 0 | -100m | 30M 40° NW | -30m cos 40°= -22.98 | 30m sin 40°=19.28 | 25m E | 25m | 0 | 45m 75°SE | 45m cos 75°= 11.65 | -45m sin 75°= -43.47 | ∑= x & y | 13.67 | -124.19 |
Dr = x² + y² = (13.67) ² + (-124.19) ² = 186.87 + 15, 423.16 = 15, 610.03
Dr = 124.94 or Dr = 125m | Tan Ɵ = = = tan ¹ (9.09) Ɵ = 83.72 or Ɵ = 84° |
3. A car starting from rest, accelerates for 15.0 min until it’s velocity is 20 m/s. It then moves at constant velocity for another 20.0 min before it slow down and finally stopped in another 10.0 min. Find (a) acceleration during the first 15 min, (b) the deceleration during the last 10 min of its motion, (c) the distance traveled during the last minute, and the (d) total displacement. (e) Draw the displacement versus time graph and velocity versus time graph for the motion of the car.
Given: